1461031 has 16 divisors (see below), whose sum is σ = 1820448. Its totient is φ = 1152000.

The previous prime is 1461001. The next prime is 1461073. The reversal of 1461031 is 1301641.

It is a 10-Lehmer number, since φ(1461031) divides (1461031-1)¹⁰.

It is a cyclic number.

It is not a de Polignac number, because 1461031 - 2⁷ = 1460903 is a prime.

It is a super-2 number, since 2×1461031² = 4269223165922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1460996 and 1461014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1461001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2131 + ... + 2731.

It is an arithmetic number, because the mean of its divisors is an integer number (113778).

2^1461031 is an apocalyptic number.

1461031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1461031 is a deficient number, since it is larger than the sum of its proper divisors (359417).

1461031 is a wasteful number, since it uses less digits than its factorization.

1461031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1461031 is about 1208.7311529037. The cubic root of 1461031 is about 113.4714166607.

Adding to 1461031 its reverse (1301641), we get a palindrome (2762672).

It can be divided in two parts, 14610 and 31, that added together give a palindrome (14641).

The spelling of 1461031 in words is "one million, four hundred sixty-one thousand, thirty-one".