167533 has 8 divisors (see below), whose sum is σ = 178200. Its totient is φ = 157248.

The previous prime is 167521. The next prime is 167537. The reversal of 167533 is 335761.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 56644 + 110889 = 238^2 + 333^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 167533 - 2⁹ = 167021 is a prime.

It is a Duffinian number.

167533 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 167498 and 167507.

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 7 ways as a sum of consecutive naturals, for example, 1483 + ... + 1591.

It is an arithmetic number, because the mean of its divisors is an integer number (22275).

2¹⁶⁷⁵³³ is an apocalyptic number.

It is an amenable number.

167533 is a deficient number, since it is larger than the sum of its proper divisors (10667).

167533 is a wasteful number, since it uses less digits than its factorization.

167533 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191.

The product of its digits is 1890, while the sum is 25.

The square root of 167533 is about 409.3079525247. The cubic root of 167533 is about 55.1273083979.

The spelling of 167533 in words is "one hundred sixty-seven thousand, five hundred thirty-three".