81003767 has 16 divisors (see below), whose sum is σ = 90716640. Its totient is φ = 71839872.

The previous prime is 81003763. The next prime is 81003781. The reversal of 81003767 is 76730018.

It is a happy number.

It is not a de Polignac number, because 81003767 - 2² = 81003763 is a prime.

It is a super-4 number, since 4×81003767⁴ (a number of 33 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81003761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38909 + ... + 40937.

It is an arithmetic number, because the mean of its divisors is an integer number (5669790).

Almost surely, 2^81003767 is an apocalyptic number.

81003767 is a deficient number, since it is larger than the sum of its proper divisors (9712873).

81003767 is a wasteful number, since it uses less digits than its factorization.

81003767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2162.

The product of its (nonzero) digits is 7056, while the sum is 32.

The square root of 81003767 is about 9000.2092753447. The cubic root of 81003767 is about 432.6815783390.

The spelling of 81003767 in words is "eighty-one million, three thousand, seven hundred sixty-seven".