7901967 has 16 divisors (see below), whose sum is σ = 11173760. Its totient is φ = 4953312.

The previous prime is 7901947. The next prime is 7901983. The reversal of 7901967 is 7691097.

It is not a de Polignac number, because 7901967 - 2¹⁶ = 7836431 is a prime.

It is a Duffinian number.

7901967 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7901947) 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, 8508 + ... + 9390.

It is an arithmetic number, because the mean of its divisors is an integer number (698360).

Almost surely, 2^7901967 is an apocalyptic number.

7901967 is a deficient number, since it is larger than the sum of its proper divisors (3271793).

7901967 is a wasteful number, since it uses less digits than its factorization.

7901967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062.

The product of its (nonzero) digits is 23814, while the sum is 39.

The square root of 7901967 is about 2811.0437563297. The cubic root of 7901967 is about 199.1796984601.

The spelling of 7901967 in words is "seven million, nine hundred one thousand, nine hundred sixty-seven".