257061 has 8 divisors (see below), whose sum is σ = 391744. Its totient is φ = 146880.

The previous prime is 257053. The next prime is 257069. The reversal of 257061 is 160752.

It is an interprime number because it is at equal distance from previous prime (257053) and next prime (257069).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 257061 - 2³ = 257053 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 12241 = 257061 / (2 + 5 + 7 + 0 + 6 + 1).

It is an Ulam number.

It is a Duffinian number.

It is a Curzon number.

257061 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257069) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6100 + ... + 6141.

It is an arithmetic number, because the mean of its divisors is an integer number (48968).

2²⁵⁷⁰⁶¹ is an apocalyptic number.

257061 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

257061 is a deficient number, since it is larger than the sum of its proper divisors (134683).

257061 is a wasteful number, since it uses less digits than its factorization.

257061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12251.

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 257061 is about 507.0118341814. The cubic root of 257061 is about 63.5836416138.

The spelling of 257061 in words is "two hundred fifty-seven thousand, sixty-one".