137713967 has 2 divisors, whose sum is σ = 137713968. Its totient is φ = 137713966.

The previous prime is 137713931. The next prime is 137713969. The reversal of 137713967 is 769317731.

137713967 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 137713967 - 2¹⁸ = 137451823 is a prime.

Together with 137713969, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137713969) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68856983 + 68856984.

It is an arithmetic number, because the mean of its divisors is an integer number (68856984).

Almost surely, 2^137713967 is an apocalyptic number.

137713967 is a deficient number, since it is larger than the sum of its proper divisors (1).

137713967 is an equidigital number, since it uses as much as digits as its factorization.

137713967 is an evil number, because the sum of its binary digits is even.

The product of its digits is 166698, while the sum is 44.

The square root of 137713967 is about 11735.1594364968. The cubic root of 137713967 is about 516.4076448911.

The spelling of 137713967 in words is "one hundred thirty-seven million, seven hundred thirteen thousand, nine hundred sixty-seven".