32542125 has 128 divisors (see below), whose sum is σ = 71884800. Its totient is φ = 12936000.

The previous prime is 32542123. The next prime is 32542127. The reversal of 32542125 is 52124523.

It is an interprime number because it is at equal distance from previous prime (32542123) and next prime (32542127).

It is not a de Polignac number, because 32542125 - 2¹ = 32542123 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 32542095 and 32542104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32542123) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1414864 + ... + 1414886.

It is an arithmetic number, because the mean of its divisors is an integer number (561600).

Almost surely, 2^32542125 is an apocalyptic number.

32542125 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

32542125 is an abundant number, since it is smaller than the sum of its proper divisors (39342675).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

32542125 is a wasteful number, since it uses less digits than its factorization.

32542125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 49 counting only the distinct ones).

The product of its digits is 2400, while the sum is 24.

The square root of 32542125 is about 5704.5705359825. The cubic root of 32542125 is about 319.2630338735.

Adding to 32542125 its reverse (52124523), we get a palindrome (84666648).

The spelling of 32542125 in words is "thirty-two million, five hundred forty-two thousand, one hundred twenty-five".