152657 has 2 divisors, whose sum is σ = 152658. Its totient is φ = 152656.

The previous prime is 152641. The next prime is 152671. The reversal of 152657 is 756251.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 126736 + 25921 = 356^2 + 161^2 .

It is an emirp because it is prime and its reverse (756251) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 152657 - 2⁴ = 152641 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (152617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 76328 + 76329.

It is an arithmetic number, because the mean of its divisors is an integer number (76329).

2¹⁵²⁶⁵⁷ is an apocalyptic number.

It is an amenable number.

152657 is a deficient number, since it is larger than the sum of its proper divisors (1).

152657 is an equidigital number, since it uses as much as digits as its factorization.

152657 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2100, while the sum is 26.

The square root of 152657 is about 390.7134499860. The cubic root of 152657 is about 53.4448145545. Note that the first 3 decimals are identical.

The spelling of 152657 in words is "one hundred fifty-two thousand, six hundred fifty-seven".