157457 has 2 divisors, whose sum is σ = 157458. Its totient is φ = 157456.

The previous prime is 157433. The next prime is 157477. The reversal of 157457 is 754751.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101761 + 55696 = 319^2 + 236^2 .

It is an emirp because it is prime and its reverse (754751) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 157457 - 2⁶ = 157393 is a prime.

It is a Chen prime.

It is a nialpdrome in base 11.

It is not a weakly prime, because it can be changed into another prime (157427) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 78728 + 78729.

It is an arithmetic number, because the mean of its divisors is an integer number (78729).

157457 is a Friedman number, since it can be written as 54^(7-5+1)-7, using all its digits and the basic arithmetic operations.

2¹⁵⁷⁴⁵⁷ is an apocalyptic number.

It is an amenable number.

157457 is a deficient number, since it is larger than the sum of its proper divisors (1).

157457 is an equidigital number, since it uses as much as digits as its factorization.

157457 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4900, while the sum is 29.

The square root of 157457 is about 396.8085180537. The cubic root of 157457 is about 53.9991998052. Note that the first 3 decimals are identical.

It can be divided in two parts, 15745 and 7, that multiplied together give a triangular number (110215 = T₄₆₉).

The spelling of 157457 in words is "one hundred fifty-seven thousand, four hundred fifty-seven".