1005421037 has 2 divisors, whose sum is σ = 1005421038. Its totient is φ = 1005421036.

The previous prime is 1005421019. The next prime is 1005421051. The reversal of 1005421037 is 7301245001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 683613316 + 321807721 = 26146^2 + 17939^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005421037 - 2¹⁸ = 1005158893 is a prime.

It is a super-4 number, since 4×1005421037⁴ (a number of 37 digits) contains 4444 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1005424037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502710518 + 502710519.

It is an arithmetic number, because the mean of its divisors is an integer number (502710519).

Almost surely, 2^1005421037 is an apocalyptic number.

It is an amenable number.

1005421037 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005421037 is an equidigital number, since it uses as much as digits as its factorization.

1005421037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 1005421037 is about 31708.3748716329. The cubic root of 1005421037 is about 1001.8037568384.

Adding to 1005421037 its reverse (7301245001), we get a palindrome (8306666038).

The spelling of 1005421037 in words is "one billion, five million, four hundred twenty-one thousand, thirty-seven".