900157 has 2 divisors, whose sum is σ = 900158. Its totient is φ = 900156.

The previous prime is 900149. The next prime is 900161. The reversal of 900157 is 751009.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 793881 + 106276 = 891^2 + 326^2 .

It is a cyclic number.

It is not a de Polignac number, because 900157 - 2³ = 900149 is a prime.

900157 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (900187) 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, 450078 + 450079.

It is an arithmetic number, because the mean of its divisors is an integer number (450079).

2⁹⁰⁰¹⁵⁷ is an apocalyptic number.

It is an amenable number.

900157 is a deficient number, since it is larger than the sum of its proper divisors (1).

900157 is an equidigital number, since it uses as much as digits as its factorization.

900157 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 315, while the sum is 22.

The square root of 900157 is about 948.7660407076. The cubic root of 900157 is about 96.5545522761.

The spelling of 900157 in words is "nine hundred thousand, one hundred fifty-seven".