157932585 has 20 divisors (see below), whose sum is σ = 283109508. Its totient is φ = 84230496.

The previous prime is 157932581. The next prime is 157932611. The reversal of 157932585 is 585239751.

157932585 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 17438976 + 140493609 = 4176^2 + 11853^2 .

It is not a de Polignac number, because 157932585 - 2² = 157932581 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 157932585.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157932581) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 194574 + ... + 195383.

Almost surely, 2^157932585 is an apocalyptic number.

157932585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

157932585 is a deficient number, since it is larger than the sum of its proper divisors (125176923).

157932585 is an equidigital number, since it uses as much as digits as its factorization.

157932585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389974 (or 389965 counting only the distinct ones).

The product of its digits is 378000, while the sum is 45.

The square root of 157932585 is about 12567.1231791528. The cubic root of 157932585 is about 540.5351176935.

The spelling of 157932585 in words is "one hundred fifty-seven million, nine hundred thirty-two thousand, five hundred eighty-five".