57293000 has 128 divisors (see below), whose sum is σ = 145566720. Its totient is φ = 21049600.

The previous prime is 57292997. The next prime is 57293003. The reversal of 57293000 is 39275.

57293000 = 1081² + 1082² + ... + 1127².

It is an interprime number because it is at equal distance from previous prime (57292997) and next prime (57293003).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57293003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1080974 + ... + 1081026.

It is an arithmetic number, because the mean of its divisors is an integer number (1137240).

Almost surely, 2^57293000 is an apocalyptic number.

57293000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57293000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72783360).

57293000 is an abundant number, since it is smaller than the sum of its proper divisors (88273720).

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

57293000 is a wasteful number, since it uses less digits than its factorization.

57293000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 26.

The square root of 57293000 is about 7569.2139618325. The cubic root of 57293000 is about 385.5084079962.

The spelling of 57293000 in words is "fifty-seven million, two hundred ninety-three thousand".