167413 has 2 divisors, whose sum is σ = 167414. Its totient is φ = 167412.

The previous prime is 167407. The next prime is 167423. The reversal of 167413 is 314761.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 165649 + 1764 = 407^2 + 42^2 .

It is an emirp because it is prime and its reverse (314761) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 167413 - 2⁵ = 167381 is a prime.

It is a super-2 number, since 2×167413² = 56054225138, which contains 22 as substring.

It is a zygodrome in base 3.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (167423) by changing a digit.

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 as a sum of consecutive naturals, namely, 83706 + 83707.

It is an arithmetic number, because the mean of its divisors is an integer number (83707).

2¹⁶⁷⁴¹³ is an apocalyptic number.

It is an amenable number.

167413 is a deficient number, since it is larger than the sum of its proper divisors (1).

167413 is an equidigital number, since it uses as much as digits as its factorization.

167413 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 504, while the sum is 22.

The square root of 167413 is about 409.1613373719. The cubic root of 167413 is about 55.1141431169.

The spelling of 167413 in words is "one hundred sixty-seven thousand, four hundred thirteen".