157406993 has 2 divisors, whose sum is σ = 157406994. Its totient is φ = 157406992.

The previous prime is 157406989. The next prime is 157407007. The reversal of 157406993 is 399604751.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 155950144 + 1456849 = 12488^2 + 1207^2 .

It is a cyclic number.

It is not a de Polignac number, because 157406993 - 2² = 157406989 is a prime.

It is a super-2 number, since 2×157406993² = 49553922890604098, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (157406903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 78703496 + 78703497.

It is an arithmetic number, because the mean of its divisors is an integer number (78703497).

Almost surely, 2^157406993 is an apocalyptic number.

It is an amenable number.

157406993 is a deficient number, since it is larger than the sum of its proper divisors (1).

157406993 is an equidigital number, since it uses as much as digits as its factorization.

157406993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 204120, while the sum is 44.

The square root of 157406993 is about 12546.1943632322. The cubic root of 157406993 is about 539.9348263822.

The spelling of 157406993 in words is "one hundred fifty-seven million, four hundred six thousand, nine hundred ninety-three".