167540993 has 16 divisors (see below), whose sum is σ = 185318400. Its totient is φ = 150757200.

The previous prime is 167540981. The next prime is 167541007. The reversal of 167540993 is 399045761.

167540993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 167540993 - 2⁴ = 167540977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (167540903) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64718 + ... + 67256.

It is an arithmetic number, because the mean of its divisors is an integer number (11582400).

Almost surely, 2^167540993 is an apocalyptic number.

It is an amenable number.

167540993 is a deficient number, since it is larger than the sum of its proper divisors (17777407).

167540993 is a wasteful number, since it uses less digits than its factorization.

167540993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2732.

The product of its (nonzero) digits is 204120, while the sum is 44.

The square root of 167540993 is about 12943.7627064158. The cubic root of 167540993 is about 551.2818509199.

The spelling of 167540993 in words is "one hundred sixty-seven million, five hundred forty thousand, nine hundred ninety-three".