34287825 has 96 divisors (see below), whose sum is σ = 69995520. Its totient is φ = 14572800.

The previous prime is 34287823. The next prime is 34287833. The reversal of 34287825 is 52878243.

It is not a de Polignac number, because 34287825 - 2¹ = 34287823 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (34287821) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 246606 + ... + 246744.

It is an arithmetic number, because the mean of its divisors is an integer number (729120).

Almost surely, 2^34287825 is an apocalyptic number.

It is an amenable number.

34287825 is an abundant number, since it is smaller than the sum of its proper divisors (35707695).

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

34287825 is a wasteful number, since it uses less digits than its factorization.

34287825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 194 counting only the distinct ones).

The product of its digits is 107520, while the sum is 39.

The square root of 34287825 is about 5855.5806714621. The cubic root of 34287825 is about 324.8727707123.

The spelling of 34287825 in words is "thirty-four million, two hundred eighty-seven thousand, eight hundred twenty-five".