99967959 has 128 divisors (see below), whose sum is σ = 199987200. Its totient is φ = 47900160.

The previous prime is 99967937. The next prime is 99967961. The reversal of 99967959 is 95976999.

It is not a de Polignac number, because 99967959 - 2⁵ = 99967927 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 99967896 and 99967905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99967999) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1638789 + ... + 1638849.

It is an arithmetic number, because the mean of its divisors is an integer number (1562400).

Almost surely, 2^99967959 is an apocalyptic number.

99967959 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

99967959 is a wasteful number, since it uses less digits than its factorization.

99967959 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 136 counting only the distinct ones).

The product of its digits is 12400290, while the sum is 63.

The square root of 99967959 is about 9998.3978216512. The cubic root of 99967959 is about 464.1093043498.

It can be divided in two parts, 9996 and 7959, that added together give a triangular number (17955 = T₁₈₉).

The spelling of 99967959 in words is "ninety-nine million, nine hundred sixty-seven thousand, nine hundred fifty-nine".