76157 has 2 divisors, whose sum is σ = 76158. Its totient is φ = 76156.

The previous prime is 76147. The next prime is 76159. The reversal of 76157 is 75167.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 52441 + 23716 = 229^2 + 154^2 .

It is an emirp because it is prime and its reverse (75167) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 76157 - 2¹⁰ = 75133 is a prime.

It is a super-5 number, since 5×76157⁵ (a number of 26 digits) contains 55555 as substring.

Together with 76159, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (76159) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38078 + 38079.

It is an arithmetic number, because the mean of its divisors is an integer number (38079).

2⁷⁶¹⁵⁷ is an apocalyptic number.

It is an amenable number.

76157 is a deficient number, since it is larger than the sum of its proper divisors (1).

76157 is an equidigital number, since it uses as much as digits as its factorization.

76157 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1470, while the sum is 26.

The square root of 76157 is about 275.9655775636. The cubic root of 76157 is about 42.3873835133.

Subtracting from 76157 its reverse (75167), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 761 and 57, that added together give a palindrome (818).

The spelling of 76157 in words is "seventy-six thousand, one hundred fifty-seven".