157477633 has 2 divisors, whose sum is σ = 157477634. Its totient is φ = 157477632.

The previous prime is 157477631. The next prime is 157477637. The reversal of 157477633 is 336774751.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 112211649 + 45265984 = 10593^2 + 6728^2 .

It is a cyclic number.

It is not a de Polignac number, because 157477633 - 2¹ = 157477631 is a prime.

Together with 157477631, it forms a pair of twin primes.

It is equal to p_8840968 and since 157477633 and 8840968 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 157477633.

It is not a weakly prime, because it can be changed into another prime (157477631) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 78738816 + 78738817.

It is an arithmetic number, because the mean of its divisors is an integer number (78738817).

Almost surely, 2^157477633 is an apocalyptic number.

It is an amenable number.

157477633 is a deficient number, since it is larger than the sum of its proper divisors (1).

157477633 is an equidigital number, since it uses as much as digits as its factorization.

157477633 is an evil number, because the sum of its binary digits is even.

The product of its digits is 370440, while the sum is 43.

The square root of 157477633 is about 12549.0092437610. The cubic root of 157477633 is about 540.0155836838.

It can be divided in two parts, 157 and 477633, that multiplied together give a triangular number (74988381 = T₁₂₂₄₆).

The spelling of 157477633 in words is "one hundred fifty-seven million, four hundred seventy-seven thousand, six hundred thirty-three".