7997953 has 6 divisors (see below), whose sum is σ = 8132082. Its totient is φ = 7864560.

The previous prime is 7997947. The next prime is 7997959. The reversal of 7997953 is 3597997.

It is an interprime number because it is at equal distance from previous prime (7997947) and next prime (7997959).

It can be written as a sum of positive squares in only one way, i.e., 7011904 + 986049 = 2648^2 + 993^2 .

It is a de Polignac number, because none of the positive numbers 2^k-7997953 is a prime.

It is a Duffinian number.

Its product of digits (535815) is a multiple of the sum of its prime factors (735).

It is a junction number, because it is equal to n+sod(n) for n = 7997897 and 7997906.

It is not an unprimeable number, because it can be changed into a prime (7997959) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23998 + ... + 24328.

It is an arithmetic number, because the mean of its divisors is an integer number (1355347).

Almost surely, 2^7997953 is an apocalyptic number.

7997953 is a gapful number since it is divisible by the number (73) formed by its first and last digit.

It is an amenable number.

7997953 is a deficient number, since it is larger than the sum of its proper divisors (134129).

7997953 is an frugal number, since it uses more digits than its factorization.

7997953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 404 counting only the distinct ones).

The product of its digits is 535815, while the sum is 49.

The square root of 7997953 is about 2828.0652397001. The cubic root of 7997953 is about 199.9829402115.

The spelling of 7997953 in words is "seven million, nine hundred ninety-seven thousand, nine hundred fifty-three".