1456961 has 6 divisors (see below), whose sum is σ = 1601586. Its totient is φ = 1324400.

The previous prime is 1456943. The next prime is 1456963. The reversal of 1456961 is 1696541.

It can be written as a sum of positive squares in only one way, i.e., 1308736 + 148225 = 1144^2 + 385^2 .

It is not a de Polignac number, because 1456961 - 2¹⁴ = 1440577 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1456963) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5900 + ... + 6141.

It is an arithmetic number, because the mean of its divisors is an integer number (266931).

2^1456961 is an apocalyptic number.

1456961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1456961 is a deficient number, since it is larger than the sum of its proper divisors (144625).

1456961 is a wasteful number, since it uses less digits than its factorization.

1456961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12063 (or 12052 counting only the distinct ones).

The product of its digits is 6480, while the sum is 32.

The square root of 1456961 is about 1207.0463951315. The cubic root of 1456961 is about 113.3659527406.

The spelling of 1456961 in words is "one million, four hundred fifty-six thousand, nine hundred sixty-one".