167562 has 32 divisors (see below), whose sum is σ = 388800. Its totient is φ = 53424.

The previous prime is 167543. The next prime is 167593. The reversal of 167562 is 265761.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 15.

It is a congruent number.

It is an unprimeable number.

167562 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1513 + ... + 1619.

It is an arithmetic number, because the mean of its divisors is an integer number (12150).

2¹⁶⁷⁵⁶² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 167562, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194400).

167562 is an abundant number, since it is smaller than the sum of its proper divisors (221238).

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

167562 is a wasteful number, since it uses less digits than its factorization.

167562 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 141 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 167562 is about 409.3433766412. The cubic root of 167562 is about 55.1304890642.

It can be divided in two parts, 167 and 562, that added together give a 6-th power (729 = 3⁶).

The spelling of 167562 in words is "one hundred sixty-seven thousand, five hundred sixty-two".