7973537 has 24 divisors (see below), whose sum is σ = 9764328. Its totient is φ = 6462720.

The previous prime is 7973519. The next prime is 7973543. The reversal of 7973537 is 7353797.

It can be written as a sum of positive squares in 4 ways, for example, as 1628176 + 6345361 = 1276^2 + 2519^2 .

It is not a de Polignac number, because 7973537 - 2⁶ = 7973473 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 7973494 and 7973503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7973137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58133 + ... + 58269.

It is an arithmetic number, because the mean of its divisors is an integer number (406847).

Almost surely, 2^7973537 is an apocalyptic number.

It is an amenable number.

7973537 is a deficient number, since it is larger than the sum of its proper divisors (1790791).

7973537 is a wasteful number, since it uses less digits than its factorization.

7973537 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 198 counting only the distinct ones).

The product of its digits is 138915, while the sum is 41.

The square root of 7973537 is about 2823.7452080526. The cubic root of 7973537 is about 199.7792313958.

It can be divided in two parts, 797 and 3537, that added together give a palindrome (4334).

The spelling of 7973537 in words is "seven million, nine hundred seventy-three thousand, five hundred thirty-seven".