1001626961 has 8 divisors (see below), whose sum is σ = 1066044744. Its totient is φ = 937820160.

The previous prime is 1001626949. The next prime is 1001626973. The reversal of 1001626961 is 1696261001.

It is an interprime number because it is at equal distance from previous prime (1001626949) and next prime (1001626973).

It can be written as a sum of positive squares in 4 ways, for example, as 8179600 + 993447361 = 2860^2 + 31519^2 .

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 1001626961 - 2¹⁸ = 1001364817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001626061) 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, 149360 + ... + 155921.

It is an arithmetic number, because the mean of its divisors is an integer number (133255593).

Almost surely, 2^1001626961 is an apocalyptic number.

It is an amenable number.

1001626961 is a deficient number, since it is larger than the sum of its proper divisors (64417783).

1001626961 is a wasteful number, since it uses less digits than its factorization.

1001626961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305491.

The product of its (nonzero) digits is 3888, while the sum is 32.

The square root of 1001626961 is about 31648.4906591136. The cubic root of 1001626961 is about 1000.5420264875.

Adding to 1001626961 its reverse (1696261001), we get a palindrome (2697887962).

The spelling of 1001626961 in words is "one billion, one million, six hundred twenty-six thousand, nine hundred sixty-one".