157609 has 3 divisors (see below), whose sum is σ = 158007. Its totient is φ = 157212.

The previous prime is 157579. The next prime is 157627. The reversal of 157609 is 906751.

157609 = T₃₉₆ + T₃₉₇.

It is a happy number.

The square root of 157609 is 397.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 105625 + 51984 = 325^2 + 228^2 .

It is not a de Polignac number, because 157609 - 2¹³ = 149417 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (157639) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 199 + ... + 595.

It is an arithmetic number, because the mean of its divisors is an integer number (52669).

2¹⁵⁷⁶⁰⁹ is an apocalyptic number.

157609 is the 397-th square number.

157609 is the 199-th centered octagonal number.

It is an amenable number.

157609 is a deficient number, since it is larger than the sum of its proper divisors (398).

157609 is an frugal number, since it uses more digits than its factorization.

157609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 28.

The cubic root of 157609 is about 54.0165701321.

The spelling of 157609 in words is "one hundred fifty-seven thousand, six hundred nine".