34354125 has 112 divisors (see below), whose sum is σ = 71613360. Its totient is φ = 16329600.

The previous prime is 34354121. The next prime is 34354129. The reversal of 34354125 is 52145343.

It is an interprime number because it is at equal distance from previous prime (34354121) and next prime (34354129).

It can be written as a sum of positive squares in 8 ways, for example, as 17288964 + 17065161 = 4158^2 + 4131^2 .

It is not a de Polignac number, because 34354125 - 2² = 34354121 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (7200) is a multiple of the sum of its prime divisors (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34354121) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1184611 + ... + 1184639.

It is an arithmetic number, because the mean of its divisors is an integer number (639405).

Almost surely, 2^34354125 is an apocalyptic number.

It is an amenable number.

34354125 is an abundant number, since it is smaller than the sum of its proper divisors (37259235).

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

34354125 is an equidigital number, since it uses as much as digits as its factorization.

34354125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 50 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 34354125 is about 5861.2392034450. The cubic root of 34354125 is about 325.0820305756.

Adding to 34354125 its reverse (52145343), we get a palindrome (86499468).

The spelling of 34354125 in words is "thirty-four million, three hundred fifty-four thousand, one hundred twenty-five".