167632 has 10 divisors (see below), whose sum is σ = 324818. Its totient is φ = 83808.

The previous prime is 167627. The next prime is 167633. The reversal of 167632 is 236761.

It can be written as a sum of positive squares in only one way, i.e., 156816 + 10816 = 396^2 + 104^2 .

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 167597 and 167606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (167633) by changing a digit.

167632 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 as a sum of consecutive naturals, namely, 5223 + ... + 5254.

2¹⁶⁷⁶³² is an apocalyptic number.

It is an amenable number.

167632 is a deficient number, since it is larger than the sum of its proper divisors (157186).

167632 is a wasteful number, since it uses less digits than its factorization.

167632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10485 (or 10479 counting only the distinct ones).

The product of its digits is 1512, while the sum is 25.

The square root of 167632 is about 409.4288705013. The cubic root of 167632 is about 55.1381650229.

The spelling of 167632 in words is "one hundred sixty-seven thousand, six hundred thirty-two".