167536 has 20 divisors (see below), whose sum is σ = 334552. Its totient is φ = 81216.

The previous prime is 167521. The next prime is 167537. The reversal of 167536 is 635761.

It is a super-2 number, since 2×167536² = 56136622592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (167537) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 451 + ... + 733.

2¹⁶⁷⁵³⁶ is an apocalyptic number.

167536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

167536 is a deficient number, since it is larger than the sum of its proper divisors (167016).

167536 is a wasteful number, since it uses less digits than its factorization.

167536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 322 counting only the distinct ones).

The product of its digits is 3780, while the sum is 28.

The square root of 167536 is about 409.3116172307. The cubic root of 167536 is about 55.1276374494.

It can be divided in two parts, 1675 and 36, that added together give a triangular number (1711 = T₅₈).

The spelling of 167536 in words is "one hundred sixty-seven thousand, five hundred thirty-six".