167949 has 6 divisors (see below), whose sum is σ = 242606. Its totient is φ = 111960.

The previous prime is 167917. The next prime is 167953. The reversal of 167949 is 949761.

167949 is nontrivially palindromic in base 8.

It can be written as a sum of positive squares in only one way, i.e., 108900 + 59049 = 330^2 + 243^2 .

It is not a de Polignac number, because 167949 - 2⁵ = 167917 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (167149) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9322 + ... + 9339.

2¹⁶⁷⁹⁴⁹ is an apocalyptic number.

It is an amenable number.

167949 is a deficient number, since it is larger than the sum of its proper divisors (74657).

167949 is a wasteful number, since it uses less digits than its factorization.

167949 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18667 (or 18664 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 167949 is about 409.8158122864. The cubic root of 167949 is about 55.1728994255.

It can be divided in two parts, 1679 and 49, that added together give a cube (1728 = 12³).

The spelling of 167949 in words is "one hundred sixty-seven thousand, nine hundred forty-nine".