967714021 has 16 divisors (see below), whose sum is σ = 1053264240. Its totient is φ = 886878720.

The previous prime is 967713991. The next prime is 967714037. The reversal of 967714021 is 120417769.

967714021 is a nontrivial binomial coefficient, being equal to C(43994, 2).

It can be written as a sum of positive squares in 8 ways, for example, as 1188100 + 966525921 = 1090^2 + 31089^2 .

It is a 5-Lehmer number, since φ(967714021) divides (967714021-1)⁵.

It is a cyclic number.

It is not a de Polignac number, because 967714021 - 2⁷ = 967713893 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a deceptive number, since it divides R_967714020.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (967714421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32995 + ... + 54991.

It is an arithmetic number, because the mean of its divisors is an integer number (65829015).

It is a Poulet number, since it divides 2^967714020-1.

Almost surely, 2^967714021 is an apocalyptic number.

967714021 is the 43993-rd triangular number and also the 21997-th hexagonal number.

967714021 is the 14665-th centered nonagonal number.

It is an amenable number.

967714021 is a deficient number, since it is larger than the sum of its proper divisors (85550219).

967714021 is a wasteful number, since it uses less digits than its factorization.

967714021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22104.

The product of its (nonzero) digits is 21168, while the sum is 37.

The square root of 967714021 is about 31108.1021761213. The cubic root of 967714021 is about 989.1200632738.

The spelling of 967714021 in words is "nine hundred sixty-seven million, seven hundred fourteen thousand, twenty-one".