1500961 has 16 divisors (see below), whose sum is σ = 1899648. Its totient is φ = 1152000.

The previous prime is 1500937. The next prime is 1500973. The reversal of 1500961 is 1690051.

It is a 3-Lehmer number, since φ(1500961) divides (1500961-1)³.

It is a cyclic number.

It is not a de Polignac number, because 1500961 - 2⁵ = 1500929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1500931) 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, 7681 + ... + 7873.

It is an arithmetic number, because the mean of its divisors is an integer number (118728).

2^1500961 is an apocalyptic number.

1500961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1500961 is a deficient number, since it is larger than the sum of its proper divisors (398687).

1500961 is a wasteful number, since it uses less digits than its factorization.

1500961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312.

The product of its (nonzero) digits is 270, while the sum is 22.

The square root of 1500961 is about 1225.1371351812. The cubic root of 1500961 is about 114.4958650452.

The spelling of 1500961 in words is "one million, five hundred thousand, nine hundred sixty-one".