5957250 has 96 divisors (see below), whose sum is σ = 16443648. Its totient is φ = 1435200.

The previous prime is 5957249. The next prime is 5957251. The reversal of 5957250 is 527595.

It is an interprime number because it is at equal distance from previous prime (5957249) and next prime (5957251).

It is not an unprimeable number, because it can be changed into a prime (5957251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126727 + ... + 126773.

It is an arithmetic number, because the mean of its divisors is an integer number (171288).

Almost surely, 2^5957250 is an apocalyptic number.

5957250 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5957250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8221824).

5957250 is an abundant number, since it is smaller than the sum of its proper divisors (10486398).

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

5957250 is a wasteful number, since it uses less digits than its factorization.

5957250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 15750, while the sum is 33.

The square root of 5957250 is about 2440.7478362174. The cubic root of 5957250 is about 181.2794640963.

The spelling of 5957250 in words is "five million, nine hundred fifty-seven thousand, two hundred fifty".