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169806961 = 8321572
BaseRepresentation
bin10100001111100…
…00110001110001
3102211112002100201
422013300301301
5321432310321
624503315201
74131223012
oct1207606161
9384462321
10169806961
1187940535
1248a4bb01
13292454bc
14187a3009
15ed93291
hexa1f0c71

169806961 has 9 divisors (see below), whose sum is σ = 172979211. Its totient is φ = 166692552.

The previous prime is 169806947. The next prime is 169806983. The reversal of 169806961 is 169608961.

The square root of 169806961 is 13031.

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., 49773025 + 120033936 = 7055^2 + 10956^2 .

It is not a de Polignac number, because 169806961 - 25 = 169806929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (169806941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1081495 + ... + 1081651.

Almost surely, 2169806961 is an apocalyptic number.

169806961 is the 13031-st square number.

169806961 is the 6516-th centered octagonal number.

It is an amenable number.

169806961 is a deficient number, since it is larger than the sum of its proper divisors (3172250).

169806961 is an frugal number, since it uses more digits than its factorization.

169806961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 46.

The cubic root of 169806961 is about 553.7560658498.

The spelling of 169806961 in words is "one hundred sixty-nine million, eight hundred six thousand, nine hundred sixty-one".

Divisors: 1 83 157 6889 13031 24649 1081573 2045867 169806961