1006761 has 16 divisors (see below), whose sum is σ = 1548288. Its totient is φ = 570000.

The previous prime is 1006751. The next prime is 1006769. The reversal of 1006761 is 1676001.

It is not a de Polignac number, because 1006761 - 2⁷ = 1006633 is a prime.

It is a super-2 number, since 2×1006761² = 2027135422242, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (1006769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3886 + ... + 4136.

It is an arithmetic number, because the mean of its divisors is an integer number (96768).

2^1006761 is an apocalyptic number.

It is an amenable number.

1006761 is a deficient number, since it is larger than the sum of its proper divisors (541527).

1006761 is a wasteful number, since it uses less digits than its factorization.

1006761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452.

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 1006761 is about 1003.3748053444. The cubic root of 1006761 is about 100.2248606645.

The spelling of 1006761 in words is "one million, six thousand, seven hundred sixty-one".