7825737 has 16 divisors (see below), whose sum is σ = 10866240. Its totient is φ = 5003712.

The previous prime is 7825723. The next prime is 7825747. The reversal of 7825737 is 7375287.

7825737 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 7825737 - 2⁸ = 7825481 is a prime.

It is a super-2 number, since 2×7825737² = 122484319186338, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7825695 and 7825704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7825717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25338 + ... + 25644.

It is an arithmetic number, because the mean of its divisors is an integer number (679140).

Almost surely, 2^7825737 is an apocalyptic number.

It is an amenable number.

7825737 is a deficient number, since it is larger than the sum of its proper divisors (3040503).

7825737 is a wasteful number, since it uses less digits than its factorization.

7825737 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632.

The product of its digits is 82320, while the sum is 39.

The square root of 7825737 is about 2797.4518762617. The cubic root of 7825737 is about 198.5371345441.

The spelling of 7825737 in words is "seven million, eight hundred twenty-five thousand, seven hundred thirty-seven".