167552 has 64 divisors (see below), whose sum is σ = 440640. Its totient is φ = 61440.

The previous prime is 167543. The next prime is 167593. The reversal of 167552 is 255761.

167552 is nontrivially palindromic in base 3.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9848 + ... + 9864.

It is an arithmetic number, because the mean of its divisors is an integer number (6885).

2¹⁶⁷⁵⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 167552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220320).

167552 is an abundant number, since it is smaller than the sum of its proper divisors (273088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

167552 is a wasteful number, since it uses less digits than its factorization.

167552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 37 counting only the distinct ones).

The product of its digits is 2100, while the sum is 26.

The square root of 167552 is about 409.3311617749. The cubic root of 167552 is about 55.1293923242.

Subtracting 167552 from its reverse (255761), we obtain a square (88209 = 297²).

The spelling of 167552 in words is "one hundred sixty-seven thousand, five hundred fifty-two".