167553 has 6 divisors (see below), whose sum is σ = 242034. Its totient is φ = 111696.

The previous prime is 167543. The next prime is 167593. The reversal of 167553 is 355761.

It can be written as a sum of positive squares in only one way, i.e., 166464 + 1089 = 408^2 + 33^2 .

It is not a de Polignac number, because 167553 - 2⁴ = 167537 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (167543) 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 5 ways as a sum of consecutive naturals, for example, 9300 + ... + 9317.

It is an arithmetic number, because the mean of its divisors is an integer number (40339).

2¹⁶⁷⁵⁵³ is an apocalyptic number.

It is an amenable number.

167553 is a deficient number, since it is larger than the sum of its proper divisors (74481).

167553 is a wasteful number, since it uses less digits than its factorization.

167553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18623 (or 18620 counting only the distinct ones).

The product of its digits is 3150, while the sum is 27.

The square root of 167553 is about 409.3323832779. The cubic root of 167553 is about 55.1295020002.

It can be divided in two parts, 1675 and 53, that added together give a cube (1728 = 12³).

The spelling of 167553 in words is "one hundred sixty-seven thousand, five hundred fifty-three".