167521 has 2 divisors, whose sum is σ = 167522. Its totient is φ = 167520.

The previous prime is 167491. The next prime is 167537. The reversal of 167521 is 125761.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 140625 + 26896 = 375^2 + 164^2 .

It is a cyclic number.

It is not a de Polignac number, because 167521 - 2⁷ = 167393 is a prime.

It is an Ulam number.

167521 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 167492 and 167501.

It is not a weakly prime, because it can be changed into another prime (167021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 83760 + 83761.

It is an arithmetic number, because the mean of its divisors is an integer number (83761).

2¹⁶⁷⁵²¹ is an apocalyptic number.

It is an amenable number.

167521 is a deficient number, since it is larger than the sum of its proper divisors (1).

167521 is an equidigital number, since it uses as much as digits as its factorization.

167521 is an evil number, because the sum of its binary digits is even.

The product of its digits is 420, while the sum is 22.

The square root of 167521 is about 409.2932933729. The cubic root of 167521 is about 55.1259921528.

The spelling of 167521 in words is "one hundred sixty-seven thousand, five hundred twenty-one".