152957 has 4 divisors (see below), whose sum is σ = 174816. Its totient is φ = 131100.

The previous prime is 152953. The next prime is 152959. The reversal of 152957 is 759251.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 759251 = 43 ⋅17657.

It is a cyclic number.

It is not a de Polignac number, because 152957 - 2² = 152953 is a prime.

It is a Duffinian number.

It is a plaindrome in base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 152957.

It is not an unprimeable number, because it can be changed into a prime (152953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10919 + ... + 10932.

It is an arithmetic number, because the mean of its divisors is an integer number (43704).

2¹⁵²⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

152957 is a deficient number, since it is larger than the sum of its proper divisors (21859).

152957 is an equidigital number, since it uses as much as digits as its factorization.

152957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21858.

The product of its digits is 3150, while the sum is 29.

The square root of 152957 is about 391.0971746254. The cubic root of 152957 is about 53.4798013832.

It can be divided in two parts, 1529 and 57, that multiplied together give a triangular number (87153 = T₄₁₇).

The spelling of 152957 in words is "one hundred fifty-two thousand, nine hundred fifty-seven".