37642125 has 16 divisors (see below), whose sum is σ = 62637120. Its totient is φ = 20075600.

The previous prime is 37642123. The next prime is 37642127. The reversal of 37642125 is 52124673.

It is an interprime number because it is at equal distance from previous prime (37642123) and next prime (37642127).

It is not a de Polignac number, because 37642125 - 2¹ = 37642123 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 37642092 and 37642101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37642123) 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, 49815 + ... + 50564.

It is an arithmetic number, because the mean of its divisors is an integer number (3914820).

Almost surely, 2^37642125 is an apocalyptic number.

It is an amenable number.

37642125 is a deficient number, since it is larger than the sum of its proper divisors (24994995).

37642125 is a wasteful number, since it uses less digits than its factorization.

37642125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100397 (or 100387 counting only the distinct ones).

The product of its digits is 10080, while the sum is 30.

The square root of 37642125 is about 6135.3178401775. The cubic root of 37642125 is about 335.1388004320.

Adding to 37642125 its reverse (52124673), we get a palindrome (89766798).

The spelling of 37642125 in words is "thirty-seven million, six hundred forty-two thousand, one hundred twenty-five".