157313 has 4 divisors (see below), whose sum is σ = 169428. Its totient is φ = 145200.

The previous prime is 157307. The next prime is 157321. The reversal of 157313 is 313751.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 107584 + 49729 = 328^2 + 223^2 .

It is a cyclic number.

It is not a de Polignac number, because 157313 - 2⁸ = 157057 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (157303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6038 + ... + 6063.

It is an arithmetic number, because the mean of its divisors is an integer number (42357).

2¹⁵⁷³¹³ is an apocalyptic number.

157313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

157313 is a deficient number, since it is larger than the sum of its proper divisors (12115).

157313 is a wasteful number, since it uses less digits than its factorization.

157313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12114.

The product of its digits is 315, while the sum is 20.

The square root of 157313 is about 396.6270288319. The cubic root of 157313 is about 53.9827333913.

It can be divided in two parts, 1573 and 13, that multiplied together give a square (20449 = 143²).

The spelling of 157313 in words is "one hundred fifty-seven thousand, three hundred thirteen".