34887825 has 72 divisors (see below), whose sum is σ = 75673728. Its totient is φ = 14999040.

The previous prime is 34887817. The next prime is 34887829. The reversal of 34887825 is 52878843.

It is not a de Polignac number, because 34887825 - 2³ = 34887817 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34887829) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26124 + ... + 27426.

It is an arithmetic number, because the mean of its divisors is an integer number (1051024).

Almost surely, 2^34887825 is an apocalyptic number.

34887825 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34887825 is an abundant number, since it is smaller than the sum of its proper divisors (40785903).

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

34887825 is a wasteful number, since it uses less digits than its factorization.

34887825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343 (or 1335 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 34887825 is about 5906.5916567848. The cubic root of 34887825 is about 326.7567980966.

The spelling of 34887825 in words is "thirty-four million, eight hundred eighty-seven thousand, eight hundred twenty-five".