1461963 has 8 divisors (see below), whose sum is σ = 1958400. Its totient is φ = 970088.

The previous prime is 1461953. The next prime is 1461973. The reversal of 1461963 is 3691641.

It is an interprime number because it is at equal distance from previous prime (1461953) and next prime (1461973).

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

It is a cyclic number.

It is not a de Polignac number, because 1461963 - 2⁵ = 1461931 is a prime.

1461963 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 1461963.

It is not an unprimeable number, because it can be changed into a prime (1461913) 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, 303 + ... + 1736.

It is an arithmetic number, because the mean of its divisors is an integer number (244800).

2^1461963 is an apocalyptic number.

1461963 is a deficient number, since it is larger than the sum of its proper divisors (496437).

1461963 is a wasteful number, since it uses less digits than its factorization.

1461963 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2281.

The product of its digits is 3888, while the sum is 30.

The square root of 1461963 is about 1209.1166196856. The cubic root of 1461963 is about 113.4955395531.

The spelling of 1461963 in words is "one million, four hundred sixty-one thousand, nine hundred sixty-three".