157633 has 6 divisors (see below), whose sum is σ = 183426. Its totient is φ = 135072.

The previous prime is 157627. The next prime is 157637. The reversal of 157633 is 336751.

It is a happy number.

157633 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 153664 + 3969 = 392^2 + 63^2 .

It is not a de Polignac number, because 157633 - 2¹³ = 149441 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 157598 and 157607.

It is not an unprimeable number, because it can be changed into a prime (157637) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1560 + ... + 1657.

It is an arithmetic number, because the mean of its divisors is an integer number (30571).

2¹⁵⁷⁶³³ is an apocalyptic number.

It is an amenable number.

157633 is a deficient number, since it is larger than the sum of its proper divisors (25793).

157633 is an equidigital number, since it uses as much as digits as its factorization.

157633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3231 (or 3224 counting only the distinct ones).

The product of its digits is 1890, while the sum is 25.

The square root of 157633 is about 397.0302255496. The cubic root of 157633 is about 54.0193117942.

The spelling of 157633 in words is "one hundred fifty-seven thousand, six hundred thirty-three".