161586125 has 24 divisors (see below), whose sum is σ = 206966760. Its totient is φ = 125952000.

The previous prime is 161586119. The next prime is 161586137. The reversal of 161586125 is 521685161.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 161239204 + 346921 = 12698^2 + 589^2 .

It is not a de Polignac number, because 161586125 - 2⁸ = 161585869 is a prime.

It is a super-2 number, since 2×161586125² = 52220151585031250, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 209741 + ... + 210509.

It is an arithmetic number, because the mean of its divisors is an integer number (8623615).

Almost surely, 2^161586125 is an apocalyptic number.

It is an amenable number.

161586125 is a deficient number, since it is larger than the sum of its proper divisors (45380635).

161586125 is an frugal number, since it uses more digits than its factorization.

161586125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 815 counting only the distinct ones).

The product of its digits is 14400, while the sum is 35.

The square root of 161586125 is about 12711.6531183005. The cubic root of 161586125 is about 544.6715468948.

The spelling of 161586125 in words is "one hundred sixty-one million, five hundred eighty-six thousand, one hundred twenty-five".