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97713225 = 32526592
BaseRepresentation
bin1011101001011…
…11110001001001
320210212100100100
411310233301021
5200003310400
613410200013
72264356131
oct564576111
9223770310
1097713225
115017a435
1228883009
131732299c
14cd97ac1
1588a2100
hex5d2fc49

97713225 has 27 divisors (see below), whose sum is σ = 175281223. Its totient is φ = 52034640.

The previous prime is 97713211. The next prime is 97713227. The reversal of 97713225 is 52231779.

The square root of 97713225 is 9885.

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

It can be written as a sum of positive squares in only one way, i.e., 35176761 + 62536464 = 5931^2 + 7908^2 .

It is not a de Polignac number, because 97713225 - 27 = 97713097 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 97713225.

It is not an unprimeable number, because it can be changed into a prime (97713227) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 147946 + ... + 148604.

Almost surely, 297713225 is an apocalyptic number.

97713225 is the 9885-th square number.

97713225 is the 4943-rd centered octagonal number.

It is an amenable number.

97713225 is a deficient number, since it is larger than the sum of its proper divisors (77567998).

97713225 is an equidigital number, since it uses as much as digits as its factorization.

97713225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334 (or 667 counting only the distinct ones).

The product of its digits is 26460, while the sum is 36.

The cubic root of 97713225 is about 460.5934762690.

Multiplying 97713225 by its sum of digits (36), we get a square (3517676100 = 593102).

It can be divided in two parts, 9771 and 3225, that added together give a square (12996 = 1142).

The spelling of 97713225 in words is "ninety-seven million, seven hundred thirteen thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 659 1977 3295 5931 9885 16475 29655 49425 148275 434281 1302843 2171405 3908529 6514215 10857025 19542645 32571075 97713225