1610601165 has 80 divisors (see below), whose sum is σ = 3069673200. Its totient is φ = 805109760.

The previous prime is 1610601149. The next prime is 1610601211. The reversal of 1610601165 is 5611060161.

It can be written as a sum of positive squares in 8 ways, for example, as 826281 + 1609774884 = 909^2 + 40122^2 .

It is not a de Polignac number, because 1610601165 - 2⁴ = 1610601149 is a prime.

It is a super-2 number, since 2×1610601165² = 5188072225398714450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3091105 + ... + 3091625.

It is an arithmetic number, because the mean of its divisors is an integer number (38370915).

Almost surely, 2^1610601165 is an apocalyptic number.

1610601165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1610601165 is a deficient number, since it is larger than the sum of its proper divisors (1459072035).

1610601165 is a wasteful number, since it uses less digits than its factorization.

1610601165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 1610601165 is about 40132.2957853148. The cubic root of 1610601165 is about 1172.1845772830.

The spelling of 1610601165 in words is "one billion, six hundred ten million, six hundred one thousand, one hundred sixty-five".