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97831881 = 34721572
BaseRepresentation
bin1011101010011…
…00101111001001
320211002101010000
411311030233021
5200021110011
613412513213
72265362100
oct565145711
9224071100
1097831881
11502505a4
122891b809
13173649b4
14cdc9037
1588c7356
hex5d4cbc9

97831881 has 45 divisors (see below), whose sum is σ = 171093879. Its totient is φ = 55547856.

The previous prime is 97831879. The next prime is 97831883. The reversal of 97831881 is 18813879.

The square root of 97831881 is 9891.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (97831879) and next prime (97831883).

It can be written as a sum of positive squares in only one way, i.e., 28676025 + 69155856 = 5355^2 + 8316^2 .

It is not a de Polignac number, because 97831881 - 21 = 97831879 is a prime.

It is a super-2 number, since 2×978318812 = 19142153879996322, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (97831883) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 623055 + ... + 623211.

Almost surely, 297831881 is an apocalyptic number.

97831881 is the 9891-st square number.

97831881 is the 4946-th centered octagonal number.

It is an amenable number.

97831881 is a deficient number, since it is larger than the sum of its proper divisors (73261998).

97831881 is an equidigital number, since it uses as much as digits as its factorization.

97831881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 167 counting only the distinct ones).

The product of its digits is 96768, while the sum is 45.

The cubic root of 97831881 is about 460.7798381885.

It can be divided in two parts, 9783 and 1881, that added together give a square (11664 = 1082).

The spelling of 97831881 in words is "ninety-seven million, eight hundred thirty-one thousand, eight hundred eighty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 157 189 441 471 567 1099 1323 1413 3297 3969 4239 7693 9891 12717 23079 24649 29673 69237 73947 89019 172543 207711 221841 517629 623133 665523 1207801 1552887 1996569 3623403 4658661 10870209 13975983 32610627 97831881