1257201 has 40 divisors (see below), whose sum is σ = 2195424. Its totient is φ = 708480.

The previous prime is 1257199. The next prime is 1257209. The reversal of 1257201 is 1027521.

It is not a de Polignac number, because 1257201 - 2¹ = 1257199 is a prime.

1257201 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (1257209) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15106 + ... + 15188.

2^1257201 is an apocalyptic number.

1257201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1257201 is the 561-st decagonal number.

It is an amenable number.

1257201 is a deficient number, since it is larger than the sum of its proper divisors (938223).

1257201 is a wasteful number, since it uses less digits than its factorization.

1257201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 1257201 is about 1121.2497491639. The cubic root of 1257201 is about 107.9281930083.

The spelling of 1257201 in words is "one million, two hundred fifty-seven thousand, two hundred one".