7814961 has 60 divisors (see below), whose sum is σ = 14897520. Its totient is φ = 4037040.

The previous prime is 7814953. The next prime is 7814971. The reversal of 7814961 is 1694187.

It is not a de Polignac number, because 7814961 - 2³ = 7814953 is a prime.

It is a super-2 number, since 2×7814961² = 122147230863042, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

Its product of digits (12096) is a multiple of the sum of its prime factors (216).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (7814921) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 43570 + ... + 43748.

It is an arithmetic number, because the mean of its divisors is an integer number (248292).

Almost surely, 2^7814961 is an apocalyptic number.

It is an amenable number.

7814961 is a deficient number, since it is larger than the sum of its proper divisors (7082559).

7814961 is a wasteful number, since it uses less digits than its factorization.

7814961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 200 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 7814961 is about 2795.5251742741. The cubic root of 7814961 is about 198.4459644766.

It can be divided in two parts, 78149 and 61, that added together give a triangular number (78210 = T₃₉₅).

The spelling of 7814961 in words is "seven million, eight hundred fourteen thousand, nine hundred sixty-one".