1006737731 has 2 divisors, whose sum is σ = 1006737732. Its totient is φ = 1006737730.

The previous prime is 1006737727. The next prime is 1006737749. The reversal of 1006737731 is 1377376001.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 1006737731 - 2² = 1006737727 is a prime.

It is a super-3 number, since 3×1006737731³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1006737691 and 1006737700.

It is not a weakly prime, because it can be changed into another prime (1006737701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503368865 + 503368866.

It is an arithmetic number, because the mean of its divisors is an integer number (503368866).

Almost surely, 2^1006737731 is an apocalyptic number.

1006737731 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006737731 is an equidigital number, since it uses as much as digits as its factorization.

1006737731 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18522, while the sum is 35.

The square root of 1006737731 is about 31729.1306373181. The cubic root of 1006737731 is about 1002.2408850168.

The spelling of 1006737731 in words is "one billion, six million, seven hundred thirty-seven thousand, seven hundred thirty-one".