167742 has 12 divisors (see below), whose sum is σ = 363480. Its totient is φ = 55908.

The previous prime is 167729. The next prime is 167747. The reversal of 167742 is 247761.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (167747) by changing a digit.

167742 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4642 + ... + 4677.

It is an arithmetic number, because the mean of its divisors is an integer number (30290).

2¹⁶⁷⁷⁴² is an apocalyptic number.

167742 is an abundant number, since it is smaller than the sum of its proper divisors (195738).

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

167742 is a wasteful number, since it uses less digits than its factorization.

167742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9327 (or 9324 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 167742 is about 409.5631819390. The cubic root of 167742 is about 55.1502229275.

It can be divided in two parts, 167 and 742, that added together give a palindrome (909).

The spelling of 167742 in words is "one hundred sixty-seven thousand, seven hundred forty-two".