1292361 has 32 divisors (see below), whose sum is σ = 2150400. Its totient is φ = 673920.

The previous prime is 1292353. The next prime is 1292371. The reversal of 1292361 is 1632921.

It is not a de Polignac number, because 1292361 - 2³ = 1292353 is a prime.

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

1292361 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1292371) 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, 16320 + ... + 16398.

It is an arithmetic number, because the mean of its divisors is an integer number (67200).

2^1292361 is an apocalyptic number.

It is an amenable number.

1292361 is a deficient number, since it is larger than the sum of its proper divisors (858039).

1292361 is a wasteful number, since it uses less digits than its factorization.

1292361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149.

The product of its digits is 648, while the sum is 24.

The square root of 1292361 is about 1136.8205663164. The cubic root of 1292361 is about 108.9250951297.

It can be divided in two parts, 1292 and 361, that added together give a triangular number (1653 = T₅₇).

The spelling of 1292361 in words is "one million, two hundred ninety-two thousand, three hundred sixty-one".